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Proof step 4 from proof pnle-neg (previous step)

i < 0, j < 0, j0 < j, i0 ≤ i ⊦ i * j < i0 * j0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
i < 0, j < 0, i0 ≤ i, j0 < j ⊦ i * j < i0 * j0

Rule argument

spec: <toplevel> name: pls-neg seq: i < 0, j < 0, i0 ≤ i, j0 < j ⊦ i * j < i0 * j0 subst: [j0, i0, j, i] → [j0, i0, j, i] flags: <all paths>

Additional information

Used simplifier rules: ⊦ i < j ↔ ¬ j ≤ i; (ss) Used terms: j0, i0, j, i